People in Group Theory

This page contains web pointers to information about some of the people behind the group theory. The page is very incomplete and will be added to over the coming weeks. The goal is to have an entry for any person contributing to group theory who is directly referenced in the notes.


Galilei Galileo  (1564-1642) 

Galilean relativity.  Galileo did not have the mathematical idea of a group but perceived directly the importance of the equivalence of inertial frames. The Galileo group is the inertial relativity group of classical mechanics. 

 Galileo

Henrik Abel  (1802-1829) 

Abelian groups 

 Galois

Evariste Galois  (1811-1832) 

Founded key concepts in group theory in the course of his study of algebraic roots of polynomials. Thought to be the first to use 'groupe' as a mathematical term. Died from wounds in a duel at 21 after writing up essential parts of his theory the night before.

 Galois

Arthur Cayley  (1821-1895) 

Cayley's Theorem: All finite groups are isomorphic to a subgroup of the symmetry group

 Cayley

Links Summary  Wiki Biography  Pictures

Sophus Lie  (1842-1899) 

Lie Groups

 Lie

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Felix Klein  (1845-1925) 

Lie Groups and Geometry

 Klein

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Hendrik Lorentz  (1853-1928) 


 Lorentz

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Henri Poincare  (1853-1928) 


 Poincare

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Elie Cartan  (1869-1951) 

Classification of semisimple Lie groups and algebras, differential geometry and Lie groups

 Cartan

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Hermann Weyl  (1885-1955) 

Group theory in quantum mechanics, Weyl-Heisenberg group, symplectic group, topological groups, representation theory

 Weyl

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Eugene Wigner  (1902-1995) 

Group theory in quantum mechanics, Special relativity in terms of the unitary representations of the Poincare group

 Wigner

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George Mackey  (1902-1995) 

Unitary representations of groups including semidirect product groups

 Mackey

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